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Finding the Third Proportional to 4,088,397,323.53 and 8,874,552,281.34

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Solution

The third proportional to 4,088,397,323.53 and 8,874,552,281.34 is: 19,263,704,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088,397,323.53 : 8,874,552,281.34 = 8,874,552,281.34 : x
  2. Step 2: Convert to fraction form
    4,088,397,323.53/8,874,552,281.34 = 8,874,552,281.34/x
  3. Step 3: Cross multiply
    4,088,397,323.53x = 8,874,552,281.34 × 8,874,552,281.34
  4. Step 4: Simplify right side
    4,088,397,323.53x = 78,757,678,194,304,434,176
  5. Step 5: Solve for x
    x = 78,757,678,194,304,434,176/4,088,397,323.53
  6. Step 6: Final answer
    x = 19,263,704,567.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.